Name
moments_xldmoments_xldMomentsXldmoments_xldMomentsXldMomentsXld — Geometric moments M20, M02, and
M11 of contours or polygons.
Herror moments_xld(const Hobject XLD, double* M11, double* M20, double* M02)
Herror T_moments_xld(const Hobject XLD, Htuple* M11, Htuple* M20, Htuple* M02)
Herror moments_xld(Hobject XLD, double* M11, double* M20, double* M02)
Herror moments_xld(Hobject XLD, HTuple* M11, HTuple* M20, HTuple* M02)
double HXLD::MomentsXld(double* M20, double* M02) const
HTuple HXLDArray::MomentsXld(HTuple* M20, HTuple* M02) const
moments_xldmoments_xldMomentsXldmoments_xldMomentsXldMomentsXld calculates the moments (M20M20M20M20M20m20,
M02M02M02M02M02m02, and M11M11M11M11M11m11) of the region enclosed by the
contours or polygons XLDXLDXLDXLDXLDXLD. See moments_region_2ndmoments_region_2ndMomentsRegion2ndmoments_region_2ndMomentsRegion2ndMomentsRegion2nd
for the definition of these features. The moments are computed by
applying Green's theorem using only the points on the contour or
polygon, i.e., no region is generated explicitly for the purpose of
calculating the features. It is assumed that the contours or
polygons are closed. If this is not the case moments_xldmoments_xldMomentsXldmoments_xldMomentsXldMomentsXld
will artificially close the contours or polygons.
It should be noted that moments_xldmoments_xldMomentsXldmoments_xldMomentsXldMomentsXld only returns useful
results if the contour or polygon encloses a region in the plane. In
particular, the contour or polygon must not intersect itself. This
is particularly important if open contours or polygons are passed
because they are closed automatically, which can produce a
self-intersection. To test whether the contours or polygons
intersect themselves, test_self_intersection_xldtest_self_intersection_xldTestSelfIntersectionXldtest_self_intersection_xldTestSelfIntersectionXldTestSelfIntersectionXld can be
used. If the contour or polygon intersects itself, useful values
for the moments can be calculated with moments_points_xldmoments_points_xldMomentsPointsXldmoments_points_xldMomentsPointsXldMomentsPointsXld.
If more than one contour or polygon is passed, the results are stored
in tuples in the same order as the respective contours or polygons in
XLDXLDXLDXLDXLDXLD.
- Multithreading type: reentrant (runs in parallel with non-exclusive operators).
- Multithreading scope: global (may be called from any thread).
- Automatically parallelized on tuple level.
Contours or polygons to be examined.
Mixed second order moment.
Second order moment along the row axis.
Second order moment along the column axis.
Let n be the number of points of the contour or polygon.
Then the run time is O(n).
moments_xldmoments_xldMomentsXldmoments_xldMomentsXldMomentsXld returns 2 (H_MSG_TRUE) if the input is not empty. If
the input is empty the behavior can be set via
set_system(::'no_object_result',<Result>:)set_system("no_object_result",<Result>)SetSystem("no_object_result",<Result>)set_system("no_object_result",<Result>)SetSystem("no_object_result",<Result>)SetSystem("no_object_result",<Result>). If
necessary, an exception is raised.
gen_contours_skeleton_xldgen_contours_skeleton_xldGenContoursSkeletonXldgen_contours_skeleton_xldGenContoursSkeletonXldGenContoursSkeletonXld,
smooth_contours_xldsmooth_contours_xldSmoothContoursXldsmooth_contours_xldSmoothContoursXldSmoothContoursXld,
gen_polygons_xldgen_polygons_xldGenPolygonsXldgen_polygons_xldGenPolygonsXldGenPolygonsXld
moments_any_xldmoments_any_xldMomentsAnyXldmoments_any_xldMomentsAnyXldMomentsAnyXld,
moments_points_xldmoments_points_xldMomentsPointsXldmoments_points_xldMomentsPointsXldMomentsPointsXld,
moments_any_points_xldmoments_any_points_xldMomentsAnyPointsXldmoments_any_points_xldMomentsAnyPointsXldMomentsAnyPointsXld
moments_any_xldmoments_any_xldMomentsAnyXldmoments_any_xldMomentsAnyXldMomentsAnyXld,
area_center_xldarea_center_xldAreaCenterXldarea_center_xldAreaCenterXldAreaCenterXld,
moments_region_2ndmoments_region_2ndMomentsRegion2ndmoments_region_2ndMomentsRegion2ndMomentsRegion2nd,
area_centerarea_centerAreaCenterarea_centerAreaCenterAreaCenter
Foundation